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Alja [10]
2 years ago
15

Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?

Mathematics
1 answer:
Lina20 [59]2 years ago
8 0
-3(y+2)^2-5+6y
-3(y^2+4y+4)-5+6y
-3y^2-12y-12-5+6y
-3y^2-6y-17
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Suppose that we wish to expand (x + y + z)17. what is the coefficient of x 2 y5z10
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We use the trinomial theorem to answer this question. Suppose we have a trinomial (a + b + c)ⁿ, we can determine any term to be:

[n!/(n-m)!(m-k)!k!] a^(n-m) b^(m-k) c^k

In this problem, the variables are: x=a, y=b and z=c. We already know the exponents of the variables. So, we equate this with the form of the trinomial theorem.

n - m = 2
m - k = 5
k = 10

Since we know k, we can determine m. Once we know m, we can determine n. Then, we can finally solve for the coefficient.

m - 10 = 5
m = 15

n - 15 = 2
n = 17

Therefore, the coefficient is equal to:

Coefficient = n!/(n-m)!(m-k)!k! = 17!/(17-5)!(15-10)!10! = 408,408


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2 years ago
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to ti
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The Tip will be $5.30
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2 years ago
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3 (n - 1) + 2 (n + 2)
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3n - 3 + 2n + 4
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Answer:

Step-by-step explanation:

5/6

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Which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? Check all that apply. T
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It doesn't matter if there are about the same number of points above the x-axis as below it, in the residual plot.

The y-coordinates of the points are not the same as the points in the scatterplot.

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